1. Topic b: comparing multi-digit whole numbers 4.nbt.2
Module 1 Lesson 5 Place Value, Rounding, and Algorithms for Addition and Subtraction
Topic b: comparing multi-digit whole numbers
4.nbt.2
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The material on which it is based is the intellectual property of Engage NY.

2. Topic: Comparing Multi-Digit Whole Numbers
Lesson 5
Topic: Comparing Multi-Digit Whole Numbers
Objective: Compare numbers based on meanings of the digits, using >, <, or = to record the comparison.
I can do this!

3. Fluency Practice – Sprint A
Lesson 5
Fluency Practice – Sprint A
Get set!
Take your mark!
Think!

4. Fluency Practice – Sprint B
Lesson 5
Fluency Practice – Sprint B
Get set!
Take your mark!
Think!

5. Skip Counting Fluency Count by twos.
Lesson 5
Skip Counting Fluency
2 Minutes
Count by twos.
Now count by 2 tens. Stop counting and raise your hand when you see me raise my hand. When I stop, say the number in standard form. For example, 6 tens would be 60.

6. Place Value Fluency 3, 4 8 7 Read this number: 3,487
Lesson 5
Place Value Fluency
2 Minutes
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones 3, 4 8 7
Read this number: 3,487
What digit is in the tens place?
Say the value of 8 tens.
Say the place value of the 4.
Say the value of 4 hundreds.
State the value of 3.

7. Place Value Fluency 5 9, 6 7 Read this number: 59,607
Lesson 5
Place Value Fluency
2 Minutes
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones 5 9, 6 7
Read this number: 59,607
What digit is in the tens place?
Say the value of 0 tens.
Say the place value of the 6.
Say the value of 6 hundreds.
State the value of 9.

8. Place Value Fluency 2 8 7, 4 9 3 Read this number: 287,493
Lesson 5
Place Value Fluency
2 Minutes
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones 2 8 7, 4 9 3
Read this number:
287,493
What digit is in the tens place?
Say the value of 9 tens.
Say the place value of the 4.
Say the value of 4 hundreds.
State the value of 7.

9. Place Value Fluency 7, 4 1 2, 9 5 2 Read this number: 7,412,952
Lesson 5
Place Value Fluency
2 Minutes
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones 7, 4 1 2, 9 5 2
Read this number:
7,412,952
What digit is in the ten thousands place?
Say the value of 1 ten thousand.
Say the place value of the 5.
Say the value of 5 tens.
State the value of 7.

10. Lesson 5
Application Problem
6 Minutes
Draw and label the units on the place value chart. Use each of the following digits (9, 8, 7, 3, 1, 0) once to create a number that is between 7 hundred thousand and 9 hundred thousand. Write the number you created in word form.
Bonus: Create 2 more numbers following the same directions as above. .

11. Lesson 5
Concept Development
30 Minutes
Materials: Place value boards and markers or place value disks

12. Comparing two numbers with the same largest unit
Lesson 5
Problem 1
Comparing two numbers with the same largest unit
1000 10
1000
1000
1000 10
3, ,040
1000 10 10 10
Let’s compare two numbers. Say the standard form to your partner and model each number on your place value board.
What is the name of the unit with the greatest value?

13. Comparing two numbers with the same largest unit
Lesson 5
Problem 1
Comparing two numbers with the same largest unit
3 thousands
1000 10
1000
1000
2 thousands 10
1000
3, ,040
1000 10
> 10 10
Compare the value of the thousands.
Tell your partner what would happen if we only compared tens rather than the unit with the greatest value.
Thousands are our largest unit.
3 thousand is greater than 2 thousand so 3,010 is greater than 2,040.

14. Comparing two numbers with an equal amount of the largest units
Lesson 5
Problem 2
Comparing two numbers with an equal amount of the largest units
10,000
1000 10 1
10,000
1000 10
10,000
1000
10,000
10,000
1000
100 1
10,000
1000
100 1
43, ,302
10,000
1000
100
10,000
1000
1000
Model and read each number. How is this comparison different from our first comparison?
If the digits of the largest unit are equal, how do we compare?

15. Comparing two numbers with an equal amount of the largest units
Lesson 5
Problem 2
Comparing two numbers with an equal amount of the largest units
10,000
1000 10 1
10,000
1000 10
10,000
1000
10,000
10,000
1000
100 1
10,000
1000
100 1
43, ,302
10,000
1000
100
<
10,000
1000
1000
Say the comparison statement in two ways. (Use the terms is greater than and is less than)

16. Comparing two numbers with an equal amount of the largest units
Lesson 5
Problem 2
Comparing two numbers with an equal amount of the largest units
1000
100 1
1000
100 1
100 1 1 1
1000
100 10
1000
100 10
2, ,530
<
100 10
100
100
Model and read each number. How is this comparison different from our first comparison?
If the digits of the largest unit are equal, how do we compare?

17. Comparing two numbers with an equal amount of the largest units
Lesson 5
Problem 2
Comparing two numbers with an equal amount of the largest units
100,000
10,000
100 10 1
100,000
10,000
100 10
100,000
10,000
100 10
100,000
10,000
100 10
100,000
10,000 10
100,000
10,000
100,000
10,000 10
970, ,641
>
100,000
100,000
100,000
1000
100 10 1
100,000
1000
100 10
100,000
Model and read each number.
If the digits of the largest unit are equal, how do we compare?
100,000
1000
100 10
100,000
1000
100 10
100,000
1000
100
100,000
1000
100
100,000
100,000
1000

18. Comparing numbers in different number forms.
Lesson 5
Problem 3
Comparing numbers in different number forms.
Write the following numbers in your place value chart. Whisper the value of each digit as you do so.
32, , ,534 3 2, 4 6 5

19. Comparing numbers in different number forms.
Lesson 5
Problem 3
Comparing numbers in different number forms.
When you compare the value of these three numbers, what do you notice?
Which number has the greatest value?
Tell your partner which number has the least value and how you know.
Arrange the numbers from greatest to least. Use comparison symbols to express the relationships of the numbers. 3 2, 4 6 5
32,644 > 32,534 > 32,434

20. Comparing numbers in different number forms
Lesson 5
Problem 4
Comparing numbers in different number forms
<
700, , ,008
Discuss with your partner how to solve this comparison and write your comparisons.
Tell your partner which units you compared and why.

21. Problem Set
(10 Minutes)
Lesson 5

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29. Student Debrief
Lesson 5
Which is more helpful to you: line up digits or line up number disks in a place value chart to compare numbers?
How is comparing numbers in Problem 1(a) different from Problem 1(b)?
How does your understanding of place value help to compare and order numbers?
How can ordering numbers apply to real life?
What challenges arise in comparing numbers when the numbers are written in different forms, such as in Problem 2?
10 minutes

30. Lesson 5
Exit Ticket

31. Lesson 5
Homework!!

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